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Published in 2019 at "Journal of Interdisciplinary Mathematics"
DOI: 10.1080/09720502.2019.1709317
Abstract: Abstract In this article, a new class of q-Hermite based unified Apostol type polynomials is introduced by means of generating function and series representation. Several important formulas and recurrence relations for these polynomials are derived…
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Keywords:
type polynomials;
unified apostol;
based unified;
apostol type ... See more keywords
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Published in 2020 at "Applicable Analysis and Discrete Mathematics"
DOI: 10.2298/aadm190405015e
Abstract: The aim of this paper is to investigate and give a new family of multi-variable Apostol-type polynomials. This family is related to Apostol-Euler, Apostol-Bernoulli, Apostol-Genocchi and Apostol-laguerre polynomials. Moreover, we derive some implicit summation formulae…
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Keywords:
type polynomials;
multi variable;
variable unified;
family ... See more keywords
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Published in 2023 at "Mathematics"
DOI: 10.3390/math11102386
Abstract: In this article, we define q-cosine and q-sine Apostol-type Frobenius–Euler polynomials and derive interesting relations. We also obtain new properties by making use of power series expansions of q-trigonometric functions, properties of q-exponential functions, and…
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Keywords:
trigonometric functions;
apostol type;
euler polynomials;
frobenius euler ... See more keywords
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Published in 2022 at "Symmetry"
DOI: 10.3390/sym14091860
Abstract: In this paper, the Fourier series expansions of Apostol-type Frobenius–Euler polynomials of complex parameters and order α are derived, and consequently integral representations of these polynomials are established. This paper provides some techniques in computing…
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Keywords:
frobenius euler;
euler polynomials;
type frobenius;
apostol type ... See more keywords